3362106000 has 320 divisors, whose sum is σ = 11950877952. Its totient is φ = 813120000.

The previous prime is 3362105977. The next prime is 3362106101. The reversal of 3362106000 is 6012633.

It is a super-2 number, since 2×3362106000² = 22607513510472000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7985790 + ... + 7986210.

Almost surely, 2^3362106000 is an apocalyptic number.

3362106000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975438976).

3362106000 is an abundant number, since it is smaller than the sum of its proper divisors (8588771952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3362106000 is a wasteful number, since it uses less digits than its factorization.

3362106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3362106000 is about 57983.6701149556. The cubic root of 3362106000 is about 1498.0873399688.

Adding to 3362106000 its reverse (6012633), we get a palindrome (3368118633).

The spelling of 3362106000 in words is "three billion, three hundred sixty-two million, one hundred six thousand".